Josephson vortices and the Atiyah-Manton construction

Nitta, Muneto

doi:10.1103/physrevd.86.125004

Cited by 60 publications

(91 citation statements)

References 56 publications

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“…In our case, a circular domain line will appear in a spherical domain wall. If we further deform the model by adding V 3 = −m 2 2 n 2 with m 2 ≪ m 3 ≪ m, sine-Gordon kinks appear on the domain line [26]. In our setting, sine-Gordon kinks will appear on a circular domain line in a spherical domain wall.…”

Section: Summary and Discussionmentioning

confidence: 93%

Baryonic sphere: A spherical domain wall carrying baryon number

Gudnason

Nitta

2014

Phys. Rev. D

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We construct a spherical domain wall which has baryon charge distributed on a sphere of finite radius in a Skyrme model with a sixth order derivative term and a modified mass term. Its distribution of energy density likewise takes the form of a sphere. In order to localize the domain wall at a finite radius we need a negative coefficient in front of the Skyrme term and a positive coefficient of the sixth order derivative term to stabilize the soliton. Increasing the pion mass pronounces the shell-like structure of the configuration.

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Section: Summary and Discussionmentioning

confidence: 93%

Baryonic sphere: A spherical domain wall carrying baryon number

Gudnason

Nitta

2014

Phys. Rev. D

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“…BPS configurations ω L and ω R carry a half of the unit instanton charge, Q = 1/2, while anti-BPS configurations ω * L and ω * R carry Q = −1/2. This fact also can be understood by noting that the U(1) modulus is twisted half along the domain wall [68,69,77,78].…”

Section: Fractionalized Instantonsmentioning

confidence: 99%

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Misumi

Nitta

Sakai

2014

J. High Energ. Phys.

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We study classical configurations in the CP N −1 model on R 1 × S 1 with twisted boundary conditions. We focus on specific configurations composed of multiple fractionalized-instantons, termed "neutral bions", which are identified as "perturbative infrared renormalons" byÜnsal and his collaborators. For Z N twisted boundary conditions, we consider an explicit ansatz corresponding to topologically trivial configurations containing one fractionalized instanton (ν = 1/N ) and one fractionalized anti-instanton (ν = −1/N ) at large separations, and exhibit the attractive interaction between the instanton constituents and how they behave at shorter separations. We show that the bosonic interaction potential between the constituents as a function of both the separation and N is consistent with the standard separated-instanton calculus even from short to large separations, which indicates that the ansatz enables us to study bions and the related physics for a wide range of separations. We also propose different bion ansatze in a certain non-Z N twisted boundary condition corresponding to the "split" vacuum for N = 3 and its extensions for N ≥ 3. We find that the interaction potential has qualitatively the same asymptotic behavior and N -dependence as those of bions for Z N twisted boundary conditions.

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“…Such defects (domain walls, strings, vortices, kinks) arise, for example, in high energy physics, cosmology, condensed matter, and so on. We notice also the impressive progress in various scenarios with embedded topological defects, e.g., a Q-lump on a domain wall, or a skyrmion on a domain wall [4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Multi-kink collisions in the ϕ 6 model

Marjaneh

Gani

Saadatmand

et al. 2017

J. High Energ. Phys.

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We study simultaneous collisions of two, three, and four kinks and antikinks of the φ 6 model at the same spatial point. Unlike the φ 4 kinks, the φ 6 kinks are asymmetric and this enriches the variety of the collision scenarios. In our numerical simulations we observe both reflection and bound state formation depending on the number of kinks and on their spatial ordering in the initial configuration. We also analyze the extreme values of the energy densities and the field gradient observed during the collisions. Our results suggest that very high energy densities can be produced in multi-kink collisions in a controllable manner. Appearance of high energy density spots in multi-kink collisions can be important in various physical applications of the Klein-Gordon model.

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Josephson vortices and the Atiyah-Manton construction

Cited by 60 publications

References 56 publications

Baryonic sphere: A spherical domain wall carrying baryon number

Baryonic sphere: A spherical domain wall carrying baryon number

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Multi-kink collisions in the ϕ 6 model

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